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<div class="title">Sqrt3T.hh</div>  </div>
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<a href="a00713.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/* ========================================================================= *</span></div><div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment"> *                                                                           *</span></div><div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment"> *                               OpenMesh                                    *</span></div><div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment"> *           Copyright (c) 2001-2015, RWTH-Aachen University                 *</span></div><div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment"> *           Department of Computer Graphics and Multimedia                  *</span></div><div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment"> *                          All rights reserved.                             *</span></div><div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment"> *                            www.openmesh.org                               *</span></div><div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment"> *                                                                           *</span></div><div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment"> *---------------------------------------------------------------------------*</span></div><div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment"> * This file is part of OpenMesh.                                            *</span></div><div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment"> *---------------------------------------------------------------------------*</span></div><div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment"> *                                                                           *</span></div><div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment"> * Redistribution and use in source and binary forms, with or without        *</span></div><div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="comment"> * modification, are permitted provided that the following conditions        *</span></div><div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment"> * are met:                                                                  *</span></div><div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment"> *                                                                           *</span></div><div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment"> * 1. Redistributions of source code must retain the above copyright notice, *</span></div><div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment"> *    this list of conditions and the following disclaimer.                  *</span></div><div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment"> *                                                                           *</span></div><div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment"> * 2. Redistributions in binary form must reproduce the above copyright      *</span></div><div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="comment"> *    notice, this list of conditions and the following disclaimer in the    *</span></div><div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="comment"> *    documentation and/or other materials provided with the distribution.   *</span></div><div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="comment"> *                                                                           *</span></div><div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="comment"> * 3. Neither the name of the copyright holder nor the names of its          *</span></div><div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="comment"> *    contributors may be used to endorse or promote products derived from   *</span></div><div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="comment"> *    this software without specific prior written permission.               *</span></div><div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="comment"> *                                                                           *</span></div><div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="comment"> * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS       *</span></div><div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="comment"> * &quot;AS IS&quot; AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED *</span></div><div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="comment"> * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A           *</span></div><div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="comment"> * PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER *</span></div><div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="comment"> * OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,  *</span></div><div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="comment"> * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,       *</span></div><div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="comment"> * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR        *</span></div><div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="comment"> * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF    *</span></div><div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="comment"> * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING      *</span></div><div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="comment"> * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS        *</span></div><div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="comment"> * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.              *</span></div><div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="comment"> *                                                                           *</span></div><div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="comment"> * ========================================================================= */</span></div><div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div><div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div><div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div><div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;<span class="comment">//=============================================================================</span></div><div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="comment">//  CLASS Sqrt3T</span></div><div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;<span class="comment">//=============================================================================</span></div><div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div><div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;<span class="preprocessor">#ifndef OPENMESH_SUBDIVIDER_UNIFORM_SQRT3T_HH</span></div><div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;<span class="preprocessor">#define OPENMESH_SUBDIVIDER_UNIFORM_SQRT3T_HH</span></div><div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div><div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div><div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;<span class="comment">//== INCLUDES =================================================================</span></div><div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div><div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;<span class="preprocessor">#include &lt;OpenMesh/Core/Mesh/Handles.hh&gt;</span></div><div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;<span class="preprocessor">#include &lt;OpenMesh/Core/System/config.hh&gt;</span></div><div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="a00716.html">OpenMesh/Tools/Subdivider/Uniform/SubdividerT.hh</a>&gt;</span></div><div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;<span class="preprocessor">#if defined(_DEBUG) || defined(DEBUG)</span></div><div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;<span class="comment">// Makes life lot easier, when playing/messing around with low-level topology</span></div><div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;<span class="comment">// changing methods of OpenMesh</span></div><div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;<span class="preprocessor">#  include &lt;OpenMesh/Tools/Utils/MeshCheckerT.hh&gt;</span></div><div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;<span class="preprocessor">#  define ASSERT_CONSISTENCY( T, m ) \</span></div><div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;<span class="preprocessor">     assert(OpenMesh::Utils::MeshCheckerT&lt;T&gt;(m).check())</span></div><div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;<span class="preprocessor">#else</span></div><div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;<span class="preprocessor">#  define ASSERT_CONSISTENCY( T, m )</span></div><div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;<span class="comment">// -------------------- STL</span></div><div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div><div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;<span class="preprocessor">#if defined(OM_CC_MIPS)</span></div><div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;<span class="preprocessor">#  include &lt;math.h&gt;</span></div><div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;<span class="preprocessor">#else</span></div><div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;<span class="preprocessor">#  include &lt;cmath&gt;</span></div><div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div><div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div><div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;<span class="comment">//== NAMESPACE ================================================================</span></div><div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div><div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;<span class="keyword">namespace </span><a class="code" href="a01233.html">OpenMesh</a>   { <span class="comment">// BEGIN_NS_OPENMESH</span></div><div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;<span class="keyword">namespace </span>Subdivider { <span class="comment">// BEGIN_NS_DECIMATER</span></div><div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;<span class="keyword">namespace </span>Uniform    { <span class="comment">// BEGIN_NS_DECIMATER</span></div><div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div><div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;</div><div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;<span class="comment">//== CLASS DEFINITION =========================================================</span></div><div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div><div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;</div><div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> MeshType, <span class="keyword">typename</span> RealType = <span class="keywordtype">double</span>&gt;</div><div class="line"><a name="l00098"></a><span class="lineno"><a class="line" href="a03049.html">   98</a></span>&#160;<span class="keyword">class </span><a class="code" href="a03049.html">Sqrt3T</a> : <span class="keyword">public</span> <a class="code" href="a03057.html">SubdividerT</a>&lt; MeshType, RealType &gt;</div><div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;{</div><div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div><div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;  <span class="keyword">typedef</span> RealType                                real_t;</div><div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;  <span class="keyword">typedef</span> MeshType                                mesh_t;</div><div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;  <span class="keyword">typedef</span> <a class="code" href="a03057.html">SubdividerT&lt; mesh_t, real_t &gt;</a>           <a class="code" href="a03057.html">parent_t</a>;</div><div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;</div><div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;  <span class="keyword">typedef</span> std::pair&lt; real_t, real_t &gt;             weight_t;</div><div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;  <span class="keyword">typedef</span> std::vector&lt; std::pair&lt;real_t,real_t&gt; &gt; weights_t;</div><div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;</div><div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;</div><div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;</div><div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;  <a class="code" href="a03049.html">Sqrt3T</a>(<span class="keywordtype">void</span>) : parent_t(), _1over3( real_t(1.0/3.0) ), _1over27( real_t(1.0/27.0) )</div><div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;  { <a class="code" href="a03049.html#aec838a28eb4759848342b57db5fe6593">init_weights</a>(); }</div><div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div><div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;  <span class="keyword">explicit</span> <a class="code" href="a03049.html">Sqrt3T</a>(MeshType &amp;_m) : parent_t(_m), _1over3( real_t(1.0/3.0) ), _1over27( real_t(1.0/27.0) )</div><div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;  { <a class="code" href="a03049.html#aec838a28eb4759848342b57db5fe6593">init_weights</a>(); }</div><div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;</div><div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;  <span class="keyword">virtual</span> ~<a class="code" href="a03049.html">Sqrt3T</a>() {}</div><div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;</div><div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;</div><div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;</div><div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;</div><div class="line"><a name="l00124"></a><span class="lineno"><a class="line" href="a03049.html#ac2cd98c5246b5b8a50366f9114c3467a">  124</a></span>&#160;  <span class="keyword">const</span> <span class="keywordtype">char</span> *<a class="code" href="a03049.html#ac2cd98c5246b5b8a50366f9114c3467a">name</a>()<span class="keyword"> const override </span>{ <span class="keywordflow">return</span> <span class="stringliteral">&quot;Uniform Sqrt3&quot;</span>; }</div><div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div><div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;  </div><div class="line"><a name="l00128"></a><span class="lineno"><a class="line" href="a03049.html#aec838a28eb4759848342b57db5fe6593">  128</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="a03049.html#aec838a28eb4759848342b57db5fe6593">init_weights</a>(<span class="keywordtype">size_t</span> _max_valence=50)</div><div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;  {</div><div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;    weights_.resize(_max_valence);</div><div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;    std::generate(weights_.begin(), weights_.end(), compute_weight());</div><div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;  }</div><div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;</div><div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;</div><div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;<span class="keyword">protected</span>:</div><div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;</div><div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;</div><div class="line"><a name="l00138"></a><span class="lineno"><a class="line" href="a03049.html#a7f1b63e31739027866405e5ecd368e2d">  138</a></span>&#160;  <span class="keywordtype">bool</span> <a class="code" href="a03049.html#a7f1b63e31739027866405e5ecd368e2d">prepare</a>( MeshType&amp; _m )<span class="keyword"> override</span></div><div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;<span class="keyword">  </span>{</div><div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;    _m.request_edge_status();</div><div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;    _m.add_property( vp_pos_ );</div><div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;    _m.add_property( ep_nv_ );</div><div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;    _m.add_property( mp_gen_ );</div><div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;    _m.property( mp_gen_ ) = 0;</div><div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;</div><div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;    <span class="keywordflow">return</span> _m.has_edge_status() &amp;&amp; vp_pos_.<a class="code" href="a02237.html#a1e7b69fe8f2d919e5d7086b95d1f309b">is_valid</a>() </div><div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;      &amp;&amp;   ep_nv_.<a class="code" href="a02237.html#a1e7b69fe8f2d919e5d7086b95d1f309b">is_valid</a>() &amp;&amp; mp_gen_.<a class="code" href="a02237.html#a1e7b69fe8f2d919e5d7086b95d1f309b">is_valid</a>();</div><div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;  }</div><div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;</div><div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;</div><div class="line"><a name="l00151"></a><span class="lineno"><a class="line" href="a03049.html#a3e8e7b2792af86a061eb6a57046bb3fe">  151</a></span>&#160;  <span class="keywordtype">bool</span> <a class="code" href="a03049.html#a3e8e7b2792af86a061eb6a57046bb3fe">cleanup</a>( MeshType&amp; _m )<span class="keyword"> override</span></div><div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;<span class="keyword">  </span>{</div><div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;    _m.release_edge_status();</div><div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;    _m.remove_property( vp_pos_ );</div><div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;    _m.remove_property( ep_nv_ );</div><div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;    _m.remove_property( mp_gen_ );</div><div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;    <span class="keywordflow">return</span> <span class="keyword">true</span>;</div><div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;  }</div><div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;</div><div class="line"><a name="l00160"></a><span class="lineno"><a class="line" href="a03049.html#a76e78d087ae4c28050c6576732b5f171">  160</a></span>&#160;  <span class="keywordtype">bool</span> <a class="code" href="a03049.html#a76e78d087ae4c28050c6576732b5f171">subdivide</a>( MeshType&amp; _m, <span class="keywordtype">size_t</span> _n , <span class="keyword">const</span> <span class="keywordtype">bool</span> _update_points = <span class="keyword">true</span>)<span class="keyword"> override</span></div><div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;<span class="keyword">  </span>{</div><div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;</div><div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;</div><div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;    <span class="keyword">typename</span> MeshType::Point            pos(0,0,0), zero(0,0,0);</div><div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;    <span class="keywordtype">size_t</span>                            &amp;gen = _m.property( mp_gen_ );</div><div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;</div><div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> l=0; l&lt;_n; ++l)</div><div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;    {</div><div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;      <span class="comment">// tag existing edges</span></div><div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;      <span class="keywordflow">for</span> (<span class="keyword">auto</span> eh : _m.edges())</div><div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;      {</div><div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;        _m.status( eh ).set_tagged( <span class="keyword">true</span> );</div><div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;        <span class="keywordflow">if</span> ( (gen%2) &amp;&amp; _m.is_boundary(eh) )</div><div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;          compute_new_boundary_points( _m, eh ); <span class="comment">// *) creates new vertices</span></div><div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;      }</div><div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;</div><div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;      <span class="comment">// do relaxation of old vertices, but store new pos in property vp_pos_</span></div><div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;</div><div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;      <span class="keywordflow">for</span> (<span class="keyword">auto</span> vh : _m.vertices())</div><div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;      {</div><div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;        <span class="keywordflow">if</span> ( _m.is_boundary(vh) )</div><div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;        {</div><div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;          <span class="keywordflow">if</span> ( gen%2 )</div><div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;          {</div><div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;            <span class="keyword">auto</span> heh  = _m.halfedge_handle(vh);</div><div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;            <span class="keywordflow">if</span> (heh.is_valid()) <span class="comment">// skip isolated newly inserted vertices *)</span></div><div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;            {</div><div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;              <span class="keyword">auto</span> prev_heh = _m.prev_halfedge_handle(heh);</div><div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;</div><div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;              assert( _m.is_boundary(heh     ) );</div><div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;              assert( _m.is_boundary(prev_heh) );</div><div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;            </div><div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;              pos  = _m.point(_m.to_vertex_handle(heh));</div><div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;              pos += _m.point(_m.from_vertex_handle(prev_heh));</div><div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;              pos *= real_t(4.0);</div><div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;</div><div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;              pos += real_t(19.0) * _m.point( vh );</div><div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;              pos *= _1over27;</div><div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;</div><div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;              _m.property( vp_pos_, vh ) = pos;</div><div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;            }</div><div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;          }</div><div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;          <span class="keywordflow">else</span></div><div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;            _m.property( vp_pos_, vh ) = _m.point( vh );</div><div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;        }</div><div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;        <span class="keywordflow">else</span></div><div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;        {</div><div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;          <span class="keywordtype">size_t</span> valence=0;</div><div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;</div><div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;          pos = zero;</div><div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;          <span class="keywordflow">for</span> ( <span class="keyword">auto</span> vvh : _m.vv_range(vh))</div><div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;          {</div><div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;            pos += _m.point( vvh );</div><div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;            ++valence;</div><div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;          }</div><div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;          pos *= weights_[ valence ].second;</div><div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;          pos += weights_[ valence ].first * _m.point(vh);</div><div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;          _m.property( vp_pos_, vh ) =  pos;</div><div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;        }</div><div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;      }   </div><div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;</div><div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;      <span class="comment">// insert new vertices, but store pos in vp_pos_</span></div><div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;      <span class="keywordflow">for</span> (<span class="keyword">auto</span> fh : _m.faces())</div><div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;      {</div><div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;        <span class="keywordflow">if</span> ( (gen%2) &amp;&amp; _m.is_boundary(fh))</div><div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;        {</div><div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;          boundary_split( _m, fh );</div><div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;        }</div><div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;        <span class="keywordflow">else</span></div><div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;        {</div><div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;          <span class="keyword">auto</span> fvit = _m.fv_iter( fh );</div><div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;          pos  = _m.point(  *fvit);</div><div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;          pos += _m.point(*(++fvit));</div><div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;          pos += _m.point(*(++fvit));</div><div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;          pos *= _1over3;</div><div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;          <span class="keyword">auto</span> vh = _m.add_vertex( zero );</div><div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;          _m.property( vp_pos_, vh ) = pos;</div><div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;          _m.split( fh, vh );</div><div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;        }</div><div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;      }</div><div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;</div><div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;      <span class="comment">// commit new positions (now iterating over all vertices)</span></div><div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;      <span class="keywordflow">for</span> (<span class="keyword">auto</span> vh : _m.vertices())</div><div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;        _m.set_point(vh, _m.property( vp_pos_, vh ) );</div><div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;      </div><div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;      <span class="comment">// flip old edges</span></div><div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;      <span class="keywordflow">for</span> (<span class="keyword">auto</span> eh : _m.edges())</div><div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;        <span class="keywordflow">if</span> ( _m.status( eh ).tagged() &amp;&amp; !_m.is_boundary( eh ) )</div><div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;          _m.flip(eh);</div><div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;</div><div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;      <span class="comment">// Now we have an consistent mesh!</span></div><div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;      ASSERT_CONSISTENCY( MeshType, _m );</div><div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;</div><div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;      <span class="comment">// increase generation by one</span></div><div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;      ++gen;</div><div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;    }</div><div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;    <span class="keywordflow">return</span> <span class="keyword">true</span>;</div><div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;  }</div><div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;</div><div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;<span class="keyword">private</span>:</div><div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;</div><div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;  <span class="keyword">struct </span>compute_weight </div><div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;  {</div><div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;    compute_weight() : valence(-1) { }    </div><div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;    weight_t <a class="code" href="a03057.html#a2c3bb164d974ac4bcc9217a8368a7484">operator() </a>(<span class="keywordtype">void</span>) </div><div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;    { </div><div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;<span class="preprocessor">#if !defined(OM_CC_MIPS)</span></div><div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;      <span class="keyword">using</span> std::cos;</div><div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;      <span class="keywordflow">if</span> (++valence)</div><div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;      {</div><div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;        real_t alpha = real_t( (4.0-2.0*cos(2.0*M_PI / real_t(valence)) )/9.0 );</div><div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;        <span class="keywordflow">return</span> weight_t( real_t(1)-alpha, alpha/real_t(valence) );</div><div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;      }</div><div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;      <span class="keywordflow">return</span> weight_t(real_t(0.0), real_t(0.0) );</div><div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;    }    </div><div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;    <span class="keywordtype">int</span> valence;</div><div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;  };</div><div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;</div><div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;<span class="keyword">private</span>:</div><div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;</div><div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;  <span class="comment">// Pre-compute location of new boundary points for odd generations</span></div><div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;  <span class="comment">// and store them in the edge property ep_nv_;</span></div><div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;  <span class="keywordtype">void</span> compute_new_boundary_points( MeshType&amp; _m, </div><div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;                                    <span class="keyword">const</span> <span class="keyword">typename</span> MeshType::EdgeHandle&amp; _eh)</div><div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;  {</div><div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;    assert( _m.is_boundary(_eh) );</div><div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;</div><div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;    <span class="keyword">typename</span> MeshType::HalfedgeHandle heh;</div><div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;    <span class="keyword">typename</span> MeshType::VertexHandle   vh1, vh2, vh3, vh4, vhl, vhr;</div><div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;    <span class="keyword">typename</span> MeshType::Point          zero(0,0,0), P1, P2, P3, P4;</div><div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;</div><div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;    <span class="comment">/*</span></div><div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;<span class="comment">    //       *---------*---------*</span></div><div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;<span class="comment">    //      / \       / \       / \</span></div><div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;<span class="comment">    //     /   \     /   \     /   \</span></div><div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;<span class="comment">    //    /     \   /     \   /     \</span></div><div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;<span class="comment">    //   /       \ /       \ /       \</span></div><div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;<span class="comment">    //  *---------*--#---#--*---------*</span></div><div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;<span class="comment">    //                </span></div><div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;<span class="comment">    //  ^         ^  ^   ^  ^         ^</span></div><div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;<span class="comment">    //  P1        P2 pl  pr P3        P4</span></div><div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;<span class="comment">    */</span></div><div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;    <span class="comment">// get halfedge pointing from P3 to P2 (outer boundary halfedge)</span></div><div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;</div><div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;    heh = _m.halfedge_handle(_eh, </div><div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;                             _m.is_boundary(_m.halfedge_handle(_eh,1)));</div><div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;    </div><div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;    assert( _m.is_boundary( _m.next_halfedge_handle( heh ) ) );</div><div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;    assert( _m.is_boundary( _m.prev_halfedge_handle( heh ) ) );</div><div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;</div><div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;    vh1 = _m.to_vertex_handle( _m.next_halfedge_handle( heh ) );</div><div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;    vh2 = _m.to_vertex_handle( heh );</div><div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;    vh3 = _m.from_vertex_handle( heh );</div><div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;    vh4 = _m.from_vertex_handle( _m.prev_halfedge_handle( heh ));</div><div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;    </div><div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;    P1  = _m.point(vh1);</div><div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;    P2  = _m.point(vh2);</div><div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;    P3  = _m.point(vh3);</div><div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;    P4  = _m.point(vh4);</div><div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;    </div><div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;    vhl = _m.add_vertex(zero);</div><div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;    vhr = _m.add_vertex(zero);</div><div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160; </div><div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;    _m.property(vp_pos_, vhl ) = (P1 + real_t(16.0f) * P2 + real_t(10.0f) * P3) * _1over27;</div><div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;    _m.property(vp_pos_, vhr ) = ( real_t(10.0f) * P2 + real_t(16.0f) * P3 + P4) * _1over27;</div><div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;    _m.property(ep_nv_, _eh).first  = vhl;</div><div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;    _m.property(ep_nv_, _eh).second = vhr; </div><div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;  }</div><div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;</div><div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;</div><div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;  <span class="keywordtype">void</span> boundary_split( MeshType&amp; _m, <span class="keyword">const</span> <span class="keyword">typename</span> MeshType::FaceHandle&amp; _fh )</div><div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;  {</div><div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;    assert( _m.is_boundary(_fh) );</div><div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;</div><div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;    <span class="keyword">typename</span> MeshType::VertexHandle     vhl, vhr;</div><div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;    <span class="keyword">typename</span> MeshType::FaceEdgeIter     fe_it;</div><div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;    <span class="keyword">typename</span> MeshType::HalfedgeHandle   heh;</div><div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;</div><div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;    <span class="comment">// find boundary edge</span></div><div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;    <span class="keywordflow">for</span>( fe_it=_m.fe_iter( _fh ); fe_it.is_valid() &amp;&amp; !_m.is_boundary( *fe_it ); ++fe_it ) {};</div><div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;</div><div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;    <span class="comment">// use precomputed, already inserted but not linked vertices</span></div><div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;    vhl = _m.property(ep_nv_, *fe_it).first;</div><div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;    vhr = _m.property(ep_nv_, *fe_it).second;</div><div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;</div><div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;    <span class="comment">/*</span></div><div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;<span class="comment">    //       *---------*---------*</span></div><div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;<span class="comment">    //      / \       / \       / \</span></div><div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;<span class="comment">    //     /   \     /   \     /   \</span></div><div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;<span class="comment">    //    /     \   /     \   /     \</span></div><div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;<span class="comment">    //   /       \ /       \ /       \</span></div><div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;<span class="comment">    //  *---------*--#---#--*---------*</span></div><div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;<span class="comment">    //                </span></div><div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;<span class="comment">    //  ^         ^  ^   ^  ^         ^</span></div><div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;<span class="comment">    //  P1        P2 pl  pr P3        P4</span></div><div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;<span class="comment">    */</span></div><div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;    <span class="comment">// get halfedge pointing from P2 to P3 (inner boundary halfedge)</span></div><div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;</div><div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;    heh = _m.halfedge_handle(*fe_it,</div><div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;                             _m.is_boundary(_m.halfedge_handle(*fe_it,0)));</div><div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;</div><div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;    <span class="keyword">typename</span> MeshType::HalfedgeHandle pl_P3;</div><div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160;</div><div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;    <span class="comment">// split P2-&gt;P3 (heh) in P2-&gt;pl (heh) and pl-&gt;P3</span></div><div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160;    boundary_split( _m, heh, vhl );         <span class="comment">// split edge</span></div><div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;    pl_P3 = _m.next_halfedge_handle( heh ); <span class="comment">// store next halfedge handle</span></div><div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160;    boundary_split( _m, heh );              <span class="comment">// split face</span></div><div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;</div><div class="line"><a name="l00373"></a><span class="lineno">  373</span>&#160;    <span class="comment">// split pl-&gt;P3 in pl-&gt;pr and pr-&gt;P3</span></div><div class="line"><a name="l00374"></a><span class="lineno">  374</span>&#160;    boundary_split( _m, pl_P3, vhr );</div><div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160;    boundary_split( _m, pl_P3 );</div><div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;</div><div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;    assert( _m.is_boundary( vhl ) &amp;&amp; _m.halfedge_handle(vhl).is_valid() );</div><div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;    assert( _m.is_boundary( vhr ) &amp;&amp; _m.halfedge_handle(vhr).is_valid() );</div><div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;  }</div><div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;</div><div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160;  <span class="keywordtype">void</span> boundary_split(MeshType&amp; _m, </div><div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;                      <span class="keyword">const</span> <span class="keyword">typename</span> MeshType::HalfedgeHandle&amp; _heh,</div><div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;                      <span class="keyword">const</span> <span class="keyword">typename</span> MeshType::VertexHandle&amp; _vh)</div><div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160;  {</div><div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;    assert( _m.is_boundary( _m.edge_handle(_heh) ) );</div><div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160;</div><div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;    <span class="keyword">typename</span> MeshType::HalfedgeHandle </div><div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;      heh(_heh),</div><div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;      opp_heh( _m.opposite_halfedge_handle(_heh) ),</div><div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160;      new_heh, opp_new_heh;</div><div class="line"><a name="l00391"></a><span class="lineno">  391</span>&#160;    <span class="keyword">typename</span> MeshType::VertexHandle   to_vh(_m.to_vertex_handle(heh));</div><div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;    <span class="keyword">typename</span> MeshType::HalfedgeHandle t_heh;</div><div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;    </div><div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;    <span class="comment">/*</span></div><div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160;<span class="comment">     *            P5</span></div><div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;<span class="comment">     *             *</span></div><div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;<span class="comment">     *            /|\</span></div><div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;<span class="comment">     *           /   \</span></div><div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;<span class="comment">     *          /     \</span></div><div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;<span class="comment">     *         /       \</span></div><div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;<span class="comment">     *        /         \</span></div><div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;<span class="comment">     *       /_ heh  new \</span></div><div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;<span class="comment">     *      *-----\*-----\*\-----*</span></div><div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;<span class="comment">     *             ^      ^ t_heh</span></div><div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;<span class="comment">     *            _vh     to_vh</span></div><div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;<span class="comment">     *</span></div><div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;<span class="comment">     *     P1     P2     P3     P4</span></div><div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;<span class="comment">     */</span></div><div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;    <span class="comment">// Re-Setting Handles</span></div><div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;    </div><div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;    <span class="comment">// find halfedge point from P4 to P3</span></div><div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;    <span class="keywordflow">for</span>(t_heh = heh; </div><div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;        _m.next_halfedge_handle(t_heh) != opp_heh; </div><div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;        t_heh = _m.opposite_halfedge_handle(_m.next_halfedge_handle(t_heh)))</div><div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160;    {}</div><div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;    </div><div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;    assert( _m.is_boundary( t_heh ) );</div><div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;</div><div class="line"><a name="l00419"></a><span class="lineno">  419</span>&#160;    new_heh     = _m.new_edge( _vh, to_vh );</div><div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160;    opp_new_heh = _m.opposite_halfedge_handle(new_heh);</div><div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160;</div><div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;    <span class="comment">// update halfedge connectivity</span></div><div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;</div><div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;    _m.set_next_halfedge_handle(t_heh,   opp_new_heh); <span class="comment">// P4-P3 -&gt; P3-P2</span></div><div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;    <span class="comment">// P2-P3 -&gt; P3-P5</span></div><div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160;    _m.set_next_halfedge_handle(new_heh, _m.next_halfedge_handle(heh));    </div><div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;    _m.set_next_halfedge_handle(heh,         new_heh); <span class="comment">// P1-P2 -&gt; P2-P3</span></div><div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;    _m.set_next_halfedge_handle(opp_new_heh, opp_heh); <span class="comment">// P3-P2 -&gt; P2-P1</span></div><div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;</div><div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;    <span class="comment">// both opposite halfedges point to same face</span></div><div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160;    _m.set_face_handle(opp_new_heh, _m.face_handle(opp_heh));</div><div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160;</div><div class="line"><a name="l00433"></a><span class="lineno">  433</span>&#160;    <span class="comment">// let heh finally point to new inserted vertex</span></div><div class="line"><a name="l00434"></a><span class="lineno">  434</span>&#160;    _m.set_vertex_handle(heh, _vh); </div><div class="line"><a name="l00435"></a><span class="lineno">  435</span>&#160;</div><div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160;    <span class="comment">// let heh and new_heh point to same face</span></div><div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160;    _m.set_face_handle(new_heh, _m.face_handle(heh));</div><div class="line"><a name="l00438"></a><span class="lineno">  438</span>&#160;</div><div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;    <span class="comment">// let opp_new_heh be the new outgoing halfedge for to_vh </span></div><div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;    <span class="comment">// (replaces for opp_heh)</span></div><div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;    _m.set_halfedge_handle( to_vh, opp_new_heh );</div><div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160;</div><div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;    <span class="comment">// let opp_heh be the outgoing halfedge for _vh</span></div><div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;    _m.set_halfedge_handle( _vh, opp_heh );</div><div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;  }</div><div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;</div><div class="line"><a name="l00447"></a><span class="lineno">  447</span>&#160;  <span class="keywordtype">void</span> boundary_split( MeshType&amp; _m, </div><div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160;                       <span class="keyword">const</span> <span class="keyword">typename</span> MeshType::HalfedgeHandle&amp; _heh)</div><div class="line"><a name="l00449"></a><span class="lineno">  449</span>&#160;  {</div><div class="line"><a name="l00450"></a><span class="lineno">  450</span>&#160;    assert( _m.is_boundary( _m.opposite_halfedge_handle( _heh ) ) );</div><div class="line"><a name="l00451"></a><span class="lineno">  451</span>&#160;</div><div class="line"><a name="l00452"></a><span class="lineno">  452</span>&#160;    <span class="keyword">typename</span> MeshType::HalfedgeHandle </div><div class="line"><a name="l00453"></a><span class="lineno">  453</span>&#160;      heh(_heh),</div><div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;      n_heh(_m.next_halfedge_handle(heh));</div><div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;</div><div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160;    <span class="keyword">typename</span> MeshType::VertexHandle   </div><div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;      to_vh(_m.to_vertex_handle(heh));</div><div class="line"><a name="l00458"></a><span class="lineno">  458</span>&#160;</div><div class="line"><a name="l00459"></a><span class="lineno">  459</span>&#160;    <span class="keyword">typename</span> MeshType::HalfedgeHandle </div><div class="line"><a name="l00460"></a><span class="lineno">  460</span>&#160;      heh2(_m.new_edge(to_vh,</div><div class="line"><a name="l00461"></a><span class="lineno">  461</span>&#160;                       _m.to_vertex_handle(_m.next_halfedge_handle(n_heh)))),</div><div class="line"><a name="l00462"></a><span class="lineno">  462</span>&#160;      heh3(_m.opposite_halfedge_handle(heh2));</div><div class="line"><a name="l00463"></a><span class="lineno">  463</span>&#160;</div><div class="line"><a name="l00464"></a><span class="lineno">  464</span>&#160;    <span class="keyword">typename</span> MeshType::FaceHandle</div><div class="line"><a name="l00465"></a><span class="lineno">  465</span>&#160;      new_fh(_m.new_face()),</div><div class="line"><a name="l00466"></a><span class="lineno">  466</span>&#160;      fh(_m.face_handle(heh));</div><div class="line"><a name="l00467"></a><span class="lineno">  467</span>&#160;    </div><div class="line"><a name="l00468"></a><span class="lineno">  468</span>&#160;    <span class="comment">// Relink (half)edges    </span></div><div class="line"><a name="l00469"></a><span class="lineno">  469</span>&#160;</div><div class="line"><a name="l00470"></a><span class="lineno">  470</span>&#160;<span class="preprocessor">#define set_next_heh set_next_halfedge_handle</span></div><div class="line"><a name="l00471"></a><span class="lineno">  471</span>&#160;<span class="preprocessor">#define next_heh next_halfedge_handle</span></div><div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160;</div><div class="line"><a name="l00473"></a><span class="lineno">  473</span>&#160;    _m.set_face_handle(heh,  new_fh);</div><div class="line"><a name="l00474"></a><span class="lineno">  474</span>&#160;    _m.set_face_handle(heh2, new_fh);</div><div class="line"><a name="l00475"></a><span class="lineno">  475</span>&#160;    _m.set_next_heh(heh2, _m.next_heh(_m.next_heh(n_heh)));</div><div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;    _m.set_next_heh(heh,  heh2);</div><div class="line"><a name="l00477"></a><span class="lineno">  477</span>&#160;    _m.set_face_handle( _m.next_heh(heh2), new_fh);</div><div class="line"><a name="l00478"></a><span class="lineno">  478</span>&#160;</div><div class="line"><a name="l00479"></a><span class="lineno">  479</span>&#160;    <span class="comment">// _m.set_face_handle( _m.next_heh(_m.next_heh(heh2)), new_fh);</span></div><div class="line"><a name="l00480"></a><span class="lineno">  480</span>&#160;</div><div class="line"><a name="l00481"></a><span class="lineno">  481</span>&#160;    _m.set_next_heh(heh3,                           n_heh);</div><div class="line"><a name="l00482"></a><span class="lineno">  482</span>&#160;    _m.set_next_heh(_m.next_halfedge_handle(n_heh), heh3);</div><div class="line"><a name="l00483"></a><span class="lineno">  483</span>&#160;    _m.set_face_handle(heh3,  fh);</div><div class="line"><a name="l00484"></a><span class="lineno">  484</span>&#160;    <span class="comment">// _m.set_face_handle(n_heh, fh);</span></div><div class="line"><a name="l00485"></a><span class="lineno">  485</span>&#160;</div><div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160;    _m.set_halfedge_handle(    fh, n_heh);</div><div class="line"><a name="l00487"></a><span class="lineno">  487</span>&#160;    _m.set_halfedge_handle(new_fh, heh);</div><div class="line"><a name="l00488"></a><span class="lineno">  488</span>&#160;</div><div class="line"><a name="l00489"></a><span class="lineno">  489</span>&#160;<span class="preprocessor">#undef set_next_halfedge_handle</span></div><div class="line"><a name="l00490"></a><span class="lineno">  490</span>&#160;<span class="preprocessor">#undef next_halfedge_handle</span></div><div class="line"><a name="l00491"></a><span class="lineno">  491</span>&#160;</div><div class="line"><a name="l00492"></a><span class="lineno">  492</span>&#160;  }</div><div class="line"><a name="l00493"></a><span class="lineno">  493</span>&#160;</div><div class="line"><a name="l00494"></a><span class="lineno">  494</span>&#160;<span class="keyword">private</span>:</div><div class="line"><a name="l00495"></a><span class="lineno">  495</span>&#160;</div><div class="line"><a name="l00496"></a><span class="lineno">  496</span>&#160;  weights_t     weights_;</div><div class="line"><a name="l00497"></a><span class="lineno">  497</span>&#160;  <a class="code" href="a02553.html">OpenMesh::VPropHandleT&lt; typename MeshType::Point &gt;</a>                    vp_pos_;</div><div class="line"><a name="l00498"></a><span class="lineno">  498</span>&#160;  <a class="code" href="a02561.html">OpenMesh::EPropHandleT</a>&lt; std::pair&lt; <span class="keyword">typename</span> MeshType::VertexHandle,</div><div class="line"><a name="l00499"></a><span class="lineno">  499</span>&#160;                                     <span class="keyword">typename</span> MeshType::VertexHandle&gt; &gt; ep_nv_;</div><div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;  <a class="code" href="a02569.html">OpenMesh::MPropHandleT&lt; size_t &gt;</a>                                      mp_gen_;</div><div class="line"><a name="l00501"></a><span class="lineno">  501</span>&#160;</div><div class="line"><a name="l00502"></a><span class="lineno">  502</span>&#160;  <span class="keyword">const</span> real_t _1over3;</div><div class="line"><a name="l00503"></a><span class="lineno">  503</span>&#160;  <span class="keyword">const</span> real_t _1over27;</div><div class="line"><a name="l00504"></a><span class="lineno">  504</span>&#160;};</div><div class="line"><a name="l00505"></a><span class="lineno">  505</span>&#160;</div><div class="line"><a name="l00506"></a><span class="lineno">  506</span>&#160;</div><div class="line"><a name="l00507"></a><span class="lineno">  507</span>&#160;<span class="comment">//=============================================================================</span></div><div class="line"><a name="l00508"></a><span class="lineno">  508</span>&#160;} <span class="comment">// END_NS_UNIFORM</span></div><div class="line"><a name="l00509"></a><span class="lineno">  509</span>&#160;} <span class="comment">// END_NS_SUBDIVIDER</span></div><div class="line"><a name="l00510"></a><span class="lineno">  510</span>&#160;} <span class="comment">// END_NS_OPENMESH</span></div><div class="line"><a name="l00511"></a><span class="lineno">  511</span>&#160;<span class="comment">//=============================================================================</span></div><div class="line"><a name="l00512"></a><span class="lineno">  512</span>&#160;<span class="preprocessor">#endif // OPENMESH_SUBDIVIDER_UNIFORM_SQRT3T_HH</span></div><div class="line"><a name="l00513"></a><span class="lineno">  513</span>&#160;<span class="comment">//=============================================================================</span></div><div class="ttc" id="a02553_html"><div class="ttname"><a href="a02553.html">OpenMesh::VPropHandleT&lt; typename MeshType::Point &gt;</a></div></div>
<div class="ttc" id="a03049_html_a7f1b63e31739027866405e5ecd368e2d"><div class="ttname"><a href="a03049.html#a7f1b63e31739027866405e5ecd368e2d">OpenMesh::Subdivider::Uniform::Sqrt3T::prepare</a></div><div class="ttdeci">bool prepare(MeshType &amp;_m) override</div><div class="ttdoc">Prepare mesh, e.g. add properties. </div><div class="ttdef"><b>Definition:</b> Sqrt3T.hh:138</div></div>
<div class="ttc" id="a02237_html_a1e7b69fe8f2d919e5d7086b95d1f309b"><div class="ttname"><a href="a02237.html#a1e7b69fe8f2d919e5d7086b95d1f309b">OpenMesh::BaseHandle::is_valid</a></div><div class="ttdeci">bool is_valid() const</div><div class="ttdoc">The handle is valid iff the index is not negative. </div><div class="ttdef"><b>Definition:</b> Handles.hh:72</div></div>
<div class="ttc" id="a03049_html_a76e78d087ae4c28050c6576732b5f171"><div class="ttname"><a href="a03049.html#a76e78d087ae4c28050c6576732b5f171">OpenMesh::Subdivider::Uniform::Sqrt3T::subdivide</a></div><div class="ttdeci">bool subdivide(MeshType &amp;_m, size_t _n, const bool _update_points=true) override</div><div class="ttdoc">Subdivide mesh _m _n times. </div><div class="ttdef"><b>Definition:</b> Sqrt3T.hh:160</div></div>
<div class="ttc" id="a03057_html_a2c3bb164d974ac4bcc9217a8368a7484"><div class="ttname"><a href="a03057.html#a2c3bb164d974ac4bcc9217a8368a7484">OpenMesh::Subdivider::Uniform::SubdividerT::operator()</a></div><div class="ttdeci">bool operator()(MeshType &amp;_m, size_t _n, const bool _update_points=true)</div><div class="ttdoc">Subdivide the mesh _m _n times. </div><div class="ttdef"><b>Definition:</b> SubdividerT.hh:122</div></div>
<div class="ttc" id="a02561_html"><div class="ttname"><a href="a02561.html">OpenMesh::EPropHandleT</a></div><div class="ttdoc">Handle representing an edge property. </div><div class="ttdef"><b>Definition:</b> Property.hh:514</div></div>
<div class="ttc" id="a03049_html_a3e8e7b2792af86a061eb6a57046bb3fe"><div class="ttname"><a href="a03049.html#a3e8e7b2792af86a061eb6a57046bb3fe">OpenMesh::Subdivider::Uniform::Sqrt3T::cleanup</a></div><div class="ttdeci">bool cleanup(MeshType &amp;_m) override</div><div class="ttdoc">Cleanup mesh after usage, e.g. remove added properties. </div><div class="ttdef"><b>Definition:</b> Sqrt3T.hh:151</div></div>
<div class="ttc" id="a03049_html"><div class="ttname"><a href="a03049.html">OpenMesh::Subdivider::Uniform::Sqrt3T</a></div><div class="ttdoc">Uniform Sqrt3 subdivision algorithm </div><div class="ttdef"><b>Definition:</b> Sqrt3T.hh:98</div></div>
<div class="ttc" id="a03057_html"><div class="ttname"><a href="a03057.html">OpenMesh::Subdivider::Uniform::SubdividerT</a></div><div class="ttdoc">Abstract base class for uniform subdivision algorithms. </div><div class="ttdef"><b>Definition:</b> SubdividerT.hh:88</div></div>
<div class="ttc" id="a02569_html"><div class="ttname"><a href="a02569.html">OpenMesh::MPropHandleT&lt; size_t &gt;</a></div></div>
<div class="ttc" id="a03049_html_aec838a28eb4759848342b57db5fe6593"><div class="ttname"><a href="a03049.html#aec838a28eb4759848342b57db5fe6593">OpenMesh::Subdivider::Uniform::Sqrt3T::init_weights</a></div><div class="ttdeci">void init_weights(size_t _max_valence=50)</div><div class="ttdoc">Pre-compute weights. </div><div class="ttdef"><b>Definition:</b> Sqrt3T.hh:128</div></div>
<div class="ttc" id="a00716_html"><div class="ttname"><a href="a00716.html">SubdividerT.hh</a></div></div>
<div class="ttc" id="a03049_html_ac2cd98c5246b5b8a50366f9114c3467a"><div class="ttname"><a href="a03049.html#ac2cd98c5246b5b8a50366f9114c3467a">OpenMesh::Subdivider::Uniform::Sqrt3T::name</a></div><div class="ttdeci">const char * name() const override</div><div class="ttdoc">Return name of subdivision algorithm. </div><div class="ttdef"><b>Definition:</b> Sqrt3T.hh:124</div></div>
<div class="ttc" id="a01233_html"><div class="ttname"><a href="a01233.html">OpenMesh</a></div><div class="ttdoc">Contains all the mesh ingredients like the polygonal mesh, the triangle mesh, different mesh kernels ...</div><div class="ttdef"><b>Definition:</b> MeshItems.hh:59</div></div>
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